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`int(sin^(-1)x)/(sqrt(1-x^(2)))dx` is equal to Where, C is an arbitrary constant.A. `log(sqrt(1-x^2))+C`B. `(1)/(2)(sin^(-1)x)^2+C`C. `log(sqrt(1-x^2))+C`D. `sin(cos^(-1x))+C` |
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Answer» Correct Answer - B Let `l=int (sin^(-1)x)/(sqrt(1-x^2))dx` Put `sin^(-1)x=t` `rArr (1)/(sqrt(1-x^2))dx=dt` `therefore l=int t dt=(t^2)/(2)+C` `=((sin^(-1)x)^2)/(2)+C` |
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